olymmath

VN-TST 2008 Problem 4

    Let mm and nn be positive integers. Prove that 6m∣(2m+3)n+16m | (2m + 3)^n + 1 if and only if 4m∣3n+14m | 3^n + 1

    Dataset text AI-MO AoPS. Quoted with source.

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